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Finding the Fourth Proportional to 4,707.47, 7,061.24 and 1,420.55

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Solution

The fourth proportional to 4,707.47, 7,061.24 and 1,420.55 is: 2,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.47 : 7,061.24 = 1,420.55 : x
  2. Step 2: Convert to fraction form
    4,707.47/7,061.24 = 1,420.55/x
  3. Step 3: Cross multiply
    4,707.47x = 7,061.24 × 1,420.55
  4. Step 4: Simplify right side
    4,707.47x = 10,030,844.48
  5. Step 5: Solve for x
    x = 10,030,844.48/4,707.47
  6. Step 6: Final answer
    x = 2,130.84

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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.