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Finding the Fourth Proportional to 5,641.48, 7,779.54 and 4,348.72

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Solution

The fourth proportional to 5,641.48, 7,779.54 and 4,348.72 is: 5,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.48 : 7,779.54 = 4,348.72 : x
  2. Step 2: Convert to fraction form
    5,641.48/7,779.54 = 4,348.72/x
  3. Step 3: Cross multiply
    5,641.48x = 7,779.54 × 4,348.72
  4. Step 4: Simplify right side
    5,641.48x = 33,831,041.19
  5. Step 5: Solve for x
    x = 33,831,041.19/5,641.48
  6. Step 6: Final answer
    x = 5,996.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.