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Finding the Fourth Proportional to 4,507.85, 6,225.09 and 4,262.42

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Solution

The fourth proportional to 4,507.85, 6,225.09 and 4,262.42 is: 5,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.85 : 6,225.09 = 4,262.42 : x
  2. Step 2: Convert to fraction form
    4,507.85/6,225.09 = 4,262.42/x
  3. Step 3: Cross multiply
    4,507.85x = 6,225.09 × 4,262.42
  4. Step 4: Simplify right side
    4,507.85x = 26,533,948.12
  5. Step 5: Solve for x
    x = 26,533,948.12/4,507.85
  6. Step 6: Final answer
    x = 5,886.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.