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Finding the Fourth Proportional to 4,776.68, 7,130.10 and 4,424.94

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Solution

The fourth proportional to 4,776.68, 7,130.10 and 4,424.94 is: 6,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.68 : 7,130.10 = 4,424.94 : x
  2. Step 2: Convert to fraction form
    4,776.68/7,130.10 = 4,424.94/x
  3. Step 3: Cross multiply
    4,776.68x = 7,130.10 × 4,424.94
  4. Step 4: Simplify right side
    4,776.68x = 31,550,264.69
  5. Step 5: Solve for x
    x = 31,550,264.69/4,776.68
  6. Step 6: Final answer
    x = 6,605.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.