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Finding the Fourth Proportional to 5,302.58, 7,312.50 and 3,865.64

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Solution

The fourth proportional to 5,302.58, 7,312.50 and 3,865.64 is: 5,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.58 : 7,312.50 = 3,865.64 : x
  2. Step 2: Convert to fraction form
    5,302.58/7,312.50 = 3,865.64/x
  3. Step 3: Cross multiply
    5,302.58x = 7,312.50 × 3,865.64
  4. Step 4: Simplify right side
    5,302.58x = 28,267,492.50
  5. Step 5: Solve for x
    x = 28,267,492.50/5,302.58
  6. Step 6: Final answer
    x = 5,330.89

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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.