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Finding the Fourth Proportional to 4,547.12, 6,275 and 2,658.66

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Solution

The fourth proportional to 4,547.12, 6,275 and 2,658.66 is: 3,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.12 : 6,275 = 2,658.66 : x
  2. Step 2: Convert to fraction form
    4,547.12/6,275 = 2,658.66/x
  3. Step 3: Cross multiply
    4,547.12x = 6,275 × 2,658.66
  4. Step 4: Simplify right side
    4,547.12x = 16,683,091.50
  5. Step 5: Solve for x
    x = 16,683,091.50/4,547.12
  6. Step 6: Final answer
    x = 3,668.94

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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.