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Finding the Fourth Proportional to 5,031, 7,547.58 and 1,953

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Solution

The fourth proportional to 5,031, 7,547.58 and 1,953 is: 2,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031 : 7,547.58 = 1,953 : x
  2. Step 2: Convert to fraction form
    5,031/7,547.58 = 1,953/x
  3. Step 3: Cross multiply
    5,031x = 7,547.58 × 1,953
  4. Step 4: Simplify right side
    5,031x = 14,740,423.74
  5. Step 5: Solve for x
    x = 14,740,423.74/5,031
  6. Step 6: Final answer
    x = 2,929.92

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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.