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Finding the Fourth Proportional to 4,693.78, 6,477.36 and 2,597.86

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Solution

The fourth proportional to 4,693.78, 6,477.36 and 2,597.86 is: 3,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.78 : 6,477.36 = 2,597.86 : x
  2. Step 2: Convert to fraction form
    4,693.78/6,477.36 = 2,597.86/x
  3. Step 3: Cross multiply
    4,693.78x = 6,477.36 × 2,597.86
  4. Step 4: Simplify right side
    4,693.78x = 16,827,274.45
  5. Step 5: Solve for x
    x = 16,827,274.45/4,693.78
  6. Step 6: Final answer
    x = 3,585.02

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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.