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Finding the Fourth Proportional to 4,615.60, 6,924.47 and 2,534.61

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Solution

The fourth proportional to 4,615.60, 6,924.47 and 2,534.61 is: 3,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.60 : 6,924.47 = 2,534.61 : x
  2. Step 2: Convert to fraction form
    4,615.60/6,924.47 = 2,534.61/x
  3. Step 3: Cross multiply
    4,615.60x = 6,924.47 × 2,534.61
  4. Step 4: Simplify right side
    4,615.60x = 17,550,830.91
  5. Step 5: Solve for x
    x = 17,550,830.91/4,615.60
  6. Step 6: Final answer
    x = 3,802.50

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Why These Related Problems?

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