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Finding the Fourth Proportional to 5,312.96, 7,970.86 and 4,731.94

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Solution

The fourth proportional to 5,312.96, 7,970.86 and 4,731.94 is: 7,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.96 : 7,970.86 = 4,731.94 : x
  2. Step 2: Convert to fraction form
    5,312.96/7,970.86 = 4,731.94/x
  3. Step 3: Cross multiply
    5,312.96x = 7,970.86 × 4,731.94
  4. Step 4: Simplify right side
    5,312.96x = 37,717,599.51
  5. Step 5: Solve for x
    x = 37,717,599.51/5,312.96
  6. Step 6: Final answer
    x = 7,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.