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Finding the Fourth Proportional to 4,700.16, 7,055.10 and 2,970

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Solution

The fourth proportional to 4,700.16, 7,055.10 and 2,970 is: 4,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.16 : 7,055.10 = 2,970 : x
  2. Step 2: Convert to fraction form
    4,700.16/7,055.10 = 2,970/x
  3. Step 3: Cross multiply
    4,700.16x = 7,055.10 × 2,970
  4. Step 4: Simplify right side
    4,700.16x = 20,953,647
  5. Step 5: Solve for x
    x = 20,953,647/4,700.16
  6. Step 6: Final answer
    x = 4,458.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.