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Finding the Fourth Proportional to 3,430.79, 5,133.88 and 2,970.15

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Solution

The fourth proportional to 3,430.79, 5,133.88 and 2,970.15 is: 4,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.79 : 5,133.88 = 2,970.15 : x
  2. Step 2: Convert to fraction form
    3,430.79/5,133.88 = 2,970.15/x
  3. Step 3: Cross multiply
    3,430.79x = 5,133.88 × 2,970.15
  4. Step 4: Simplify right side
    3,430.79x = 15,248,407.02
  5. Step 5: Solve for x
    x = 15,248,407.02/3,430.79
  6. Step 6: Final answer
    x = 4,444.58

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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.