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Finding the Fourth Proportional to 4,751.60, 7,127.40 and 4,630.10

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Solution

The fourth proportional to 4,751.60, 7,127.40 and 4,630.10 is: 6,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.60 : 7,127.40 = 4,630.10 : x
  2. Step 2: Convert to fraction form
    4,751.60/7,127.40 = 4,630.10/x
  3. Step 3: Cross multiply
    4,751.60x = 7,127.40 × 4,630.10
  4. Step 4: Simplify right side
    4,751.60x = 33,000,574.74
  5. Step 5: Solve for x
    x = 33,000,574.74/4,751.60
  6. Step 6: Final answer
    x = 6,945.15

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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.