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Finding the Fourth Proportional to 5,587.96, 8,374.86 and 5,442.60

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Solution

The fourth proportional to 5,587.96, 8,374.86 and 5,442.60 is: 8,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.96 : 8,374.86 = 5,442.60 : x
  2. Step 2: Convert to fraction form
    5,587.96/8,374.86 = 5,442.60/x
  3. Step 3: Cross multiply
    5,587.96x = 8,374.86 × 5,442.60
  4. Step 4: Simplify right side
    5,587.96x = 45,581,013.04
  5. Step 5: Solve for x
    x = 45,581,013.04/5,587.96
  6. Step 6: Final answer
    x = 8,157.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.