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Finding the Fourth Proportional to 4,342.91, 6,513 and 1,420.53

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Solution

The fourth proportional to 4,342.91, 6,513 and 1,420.53 is: 2,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.91 : 6,513 = 1,420.53 : x
  2. Step 2: Convert to fraction form
    4,342.91/6,513 = 1,420.53/x
  3. Step 3: Cross multiply
    4,342.91x = 6,513 × 1,420.53
  4. Step 4: Simplify right side
    4,342.91x = 9,251,911.89
  5. Step 5: Solve for x
    x = 9,251,911.89/4,342.91
  6. Step 6: Final answer
    x = 2,130.35

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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.