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Finding the Fourth Proportional to 7,038.06, 9,712.78 and 3,851.58

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Solution

The fourth proportional to 7,038.06, 9,712.78 and 3,851.58 is: 5,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.06 : 9,712.78 = 3,851.58 : x
  2. Step 2: Convert to fraction form
    7,038.06/9,712.78 = 3,851.58/x
  3. Step 3: Cross multiply
    7,038.06x = 9,712.78 × 3,851.58
  4. Step 4: Simplify right side
    7,038.06x = 37,409,549.19
  5. Step 5: Solve for x
    x = 37,409,549.19/7,038.06
  6. Step 6: Final answer
    x = 5,315.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.