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Finding the Fourth Proportional to 5,032.48, 7,549.80 and 1,570

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Solution

The fourth proportional to 5,032.48, 7,549.80 and 1,570 is: 2,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.48 : 7,549.80 = 1,570 : x
  2. Step 2: Convert to fraction form
    5,032.48/7,549.80 = 1,570/x
  3. Step 3: Cross multiply
    5,032.48x = 7,549.80 × 1,570
  4. Step 4: Simplify right side
    5,032.48x = 11,853,186
  5. Step 5: Solve for x
    x = 11,853,186/5,032.48
  6. Step 6: Final answer
    x = 2,355.34

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