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Finding the Fourth Proportional to 4,903.47, 6,762.15 and 3,132

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Solution

The fourth proportional to 4,903.47, 6,762.15 and 3,132 is: 4,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.47 : 6,762.15 = 3,132 : x
  2. Step 2: Convert to fraction form
    4,903.47/6,762.15 = 3,132/x
  3. Step 3: Cross multiply
    4,903.47x = 6,762.15 × 3,132
  4. Step 4: Simplify right side
    4,903.47x = 21,179,053.80
  5. Step 5: Solve for x
    x = 21,179,053.80/4,903.47
  6. Step 6: Final answer
    x = 4,319.20

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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.