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Finding the Fourth Proportional to 4,746.47, 7,111.51 and 1,970.35

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Solution

The fourth proportional to 4,746.47, 7,111.51 and 1,970.35 is: 2,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.47 : 7,111.51 = 1,970.35 : x
  2. Step 2: Convert to fraction form
    4,746.47/7,111.51 = 1,970.35/x
  3. Step 3: Cross multiply
    4,746.47x = 7,111.51 × 1,970.35
  4. Step 4: Simplify right side
    4,746.47x = 14,012,163.80
  5. Step 5: Solve for x
    x = 14,012,163.80/4,746.47
  6. Step 6: Final answer
    x = 2,952.12

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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.