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Finding the Fourth Proportional to 5,798.19, 8,697.29 and 1,415.60

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Solution

The fourth proportional to 5,798.19, 8,697.29 and 1,415.60 is: 2,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.19 : 8,697.29 = 1,415.60 : x
  2. Step 2: Convert to fraction form
    5,798.19/8,697.29 = 1,415.60/x
  3. Step 3: Cross multiply
    5,798.19x = 8,697.29 × 1,415.60
  4. Step 4: Simplify right side
    5,798.19x = 12,311,833.16
  5. Step 5: Solve for x
    x = 12,311,833.16/5,798.19
  6. Step 6: Final answer
    x = 2,123.39

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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.