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Finding the Fourth Proportional to 4,756.57, 6,565.91 and 4,258.35

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Solution

The fourth proportional to 4,756.57, 6,565.91 and 4,258.35 is: 5,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.57 : 6,565.91 = 4,258.35 : x
  2. Step 2: Convert to fraction form
    4,756.57/6,565.91 = 4,258.35/x
  3. Step 3: Cross multiply
    4,756.57x = 6,565.91 × 4,258.35
  4. Step 4: Simplify right side
    4,756.57x = 27,959,927.04
  5. Step 5: Solve for x
    x = 27,959,927.04/4,756.57
  6. Step 6: Final answer
    x = 5,878.17

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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.