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Finding the Fourth Proportional to 4,656.88, 6,976 and 2,802.39

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Solution

The fourth proportional to 4,656.88, 6,976 and 2,802.39 is: 4,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.88 : 6,976 = 2,802.39 : x
  2. Step 2: Convert to fraction form
    4,656.88/6,976 = 2,802.39/x
  3. Step 3: Cross multiply
    4,656.88x = 6,976 × 2,802.39
  4. Step 4: Simplify right side
    4,656.88x = 19,549,472.64
  5. Step 5: Solve for x
    x = 19,549,472.64/4,656.88
  6. Step 6: Final answer
    x = 4,197.98

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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.