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Finding the Fourth Proportional to 4,565, 6,312.66 and 4,358.72

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Solution

The fourth proportional to 4,565, 6,312.66 and 4,358.72 is: 6,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 6,312.66 = 4,358.72 : x
  2. Step 2: Convert to fraction form
    4,565/6,312.66 = 4,358.72/x
  3. Step 3: Cross multiply
    4,565x = 6,312.66 × 4,358.72
  4. Step 4: Simplify right side
    4,565x = 27,515,117.40
  5. Step 5: Solve for x
    x = 27,515,117.40/4,565
  6. Step 6: Final answer
    x = 6,027.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.