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Finding the Fourth Proportional to 4,649.09, 6,985.70 and 4,345.37

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Solution

The fourth proportional to 4,649.09, 6,985.70 and 4,345.37 is: 6,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.09 : 6,985.70 = 4,345.37 : x
  2. Step 2: Convert to fraction form
    4,649.09/6,985.70 = 4,345.37/x
  3. Step 3: Cross multiply
    4,649.09x = 6,985.70 × 4,345.37
  4. Step 4: Simplify right side
    4,649.09x = 30,355,492.63
  5. Step 5: Solve for x
    x = 30,355,492.63/4,649.09
  6. Step 6: Final answer
    x = 6,529.35

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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.