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Finding the Fourth Proportional to 4,876.63, 7,319.04 and 4,569.08

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Solution

The fourth proportional to 4,876.63, 7,319.04 and 4,569.08 is: 6,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.63 : 7,319.04 = 4,569.08 : x
  2. Step 2: Convert to fraction form
    4,876.63/7,319.04 = 4,569.08/x
  3. Step 3: Cross multiply
    4,876.63x = 7,319.04 × 4,569.08
  4. Step 4: Simplify right side
    4,876.63x = 33,441,290.71
  5. Step 5: Solve for x
    x = 33,441,290.71/4,876.63
  6. Step 6: Final answer
    x = 6,857.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.