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Finding the Fourth Proportional to 4,646.63, 6,970.26 and 1,525.81

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Solution

The fourth proportional to 4,646.63, 6,970.26 and 1,525.81 is: 2,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.63 : 6,970.26 = 1,525.81 : x
  2. Step 2: Convert to fraction form
    4,646.63/6,970.26 = 1,525.81/x
  3. Step 3: Cross multiply
    4,646.63x = 6,970.26 × 1,525.81
  4. Step 4: Simplify right side
    4,646.63x = 10,635,292.41
  5. Step 5: Solve for x
    x = 10,635,292.41/4,646.63
  6. Step 6: Final answer
    x = 2,288.82

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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.