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Finding the Fourth Proportional to 4,560, 6,292.81 and 2,464.13

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Solution

The fourth proportional to 4,560, 6,292.81 and 2,464.13 is: 3,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560 : 6,292.81 = 2,464.13 : x
  2. Step 2: Convert to fraction form
    4,560/6,292.81 = 2,464.13/x
  3. Step 3: Cross multiply
    4,560x = 6,292.81 × 2,464.13
  4. Step 4: Simplify right side
    4,560x = 15,506,301.91
  5. Step 5: Solve for x
    x = 15,506,301.91/4,560
  6. Step 6: Final answer
    x = 3,400.50

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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.