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Finding the Fourth Proportional to 5,038.02, 7,547.34 and 3,064.22

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Solution

The fourth proportional to 5,038.02, 7,547.34 and 3,064.22 is: 4,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.02 : 7,547.34 = 3,064.22 : x
  2. Step 2: Convert to fraction form
    5,038.02/7,547.34 = 3,064.22/x
  3. Step 3: Cross multiply
    5,038.02x = 7,547.34 × 3,064.22
  4. Step 4: Simplify right side
    5,038.02x = 23,126,710.17
  5. Step 5: Solve for x
    x = 23,126,710.17/5,038.02
  6. Step 6: Final answer
    x = 4,590.44

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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.