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Finding the Fourth Proportional to 4,637.40, 6,401.03 and 3,460.07

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Solution

The fourth proportional to 4,637.40, 6,401.03 and 3,460.07 is: 4,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.40 : 6,401.03 = 3,460.07 : x
  2. Step 2: Convert to fraction form
    4,637.40/6,401.03 = 3,460.07/x
  3. Step 3: Cross multiply
    4,637.40x = 6,401.03 × 3,460.07
  4. Step 4: Simplify right side
    4,637.40x = 22,147,962.57
  5. Step 5: Solve for x
    x = 22,147,962.57/4,637.40
  6. Step 6: Final answer
    x = 4,775.94

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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.