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Finding the Fourth Proportional to 5,312.82, 7,970.31 and 4,389.42

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Solution

The fourth proportional to 5,312.82, 7,970.31 and 4,389.42 is: 6,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.82 : 7,970.31 = 4,389.42 : x
  2. Step 2: Convert to fraction form
    5,312.82/7,970.31 = 4,389.42/x
  3. Step 3: Cross multiply
    5,312.82x = 7,970.31 × 4,389.42
  4. Step 4: Simplify right side
    5,312.82x = 34,985,038.12
  5. Step 5: Solve for x
    x = 34,985,038.12/5,312.82
  6. Step 6: Final answer
    x = 6,585.02

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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.