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Finding the Fourth Proportional to 4,738.03, 6,547.17 and 4,510.42

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Solution

The fourth proportional to 4,738.03, 6,547.17 and 4,510.42 is: 6,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.03 : 6,547.17 = 4,510.42 : x
  2. Step 2: Convert to fraction form
    4,738.03/6,547.17 = 4,510.42/x
  3. Step 3: Cross multiply
    4,738.03x = 6,547.17 × 4,510.42
  4. Step 4: Simplify right side
    4,738.03x = 29,530,486.51
  5. Step 5: Solve for x
    x = 29,530,486.51/4,738.03
  6. Step 6: Final answer
    x = 6,232.65

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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.